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7. Find the polynomial of degree 4 through the points (1, 2), (-1,0), (2, 15), (0,1)...
Consider the three points (-1,0), (0,1), (2,0) 1. Construct a second degree polynomial P(a) that interpolates the given points. Use Matlab to solve the resulting linear system. 2. Find a piecewise linear function L(x) that interpolates the given points. Consider the three points (-1,0), (0,1), (2,0) 1. Construct a second degree polynomial P(a) that interpolates the given points. Use Matlab to solve the resulting linear system. 2. Find a piecewise linear function L(x) that interpolates the given points.
Problem 3. (8 points) Given that the interpolation polynomial of the points (-3,2), (-2,1),(-1,-1), (0,1), (1,0), (2,0), (3, 1) is 191 13 5 781 , 53 Q(x) = -3602 + 30++ Find a polynomial curve passing through these seven points and additionally the point (4,0). Write your polynomial in standard form anx" +...+212 +00 +1. 360" + en
2. [8 points] a) What is the smallest degree of a polynomial that passes through all 5 of the points below? b) Set up a system of equations that can be used to find the polynomial in a). x 1 2 3 4 5 y 5 15 19 23 33 2. [8 points] a) What is the smallest degree of a polynomial that passes through all 5 of the points below? b) Set up a system of equations that can...
(3 points) Find a formula for the polynomial of least degree through the points shown in the graph. f(x) = help (formulas) - - -2
Find the polynomial of degree 4 whose graph goes through the points (-3,-194), (-2,-36), (0, 10), (2, 16), and (3, -56) f(x) +10
The polynomial of degree 4 The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 4 and roots of multiplicity 1 at x = 0 and x = – 2. It goes through the point (5, 7). Find a formula for P(x). P(x) =
4. Find the degree 3 polynomial y = ax + bx2 +er+d which passes through the following four points. (0.1), (1.-1). (2.-1). (3.7)
12. Given the data set: We want to find the interpolating polynomial of degree 2 through these points. a) Write the interpolating polynomial in Lagrange form b) Write the interpolating polynomial in Newton form.
(1 point) The curve above is the graph of a degree 4 polynomial. It goes through the point (5,-270). Find the polynomial. f(x) =
(a) (15 F-(1+9) 9. points) Apply Green's theorem to evaluate φ F.nds, where (x2 +y)j, of a triangle with vertices (1,0), (0,1). (-1,0) oriented in the counterclockwise direction n is the outward-pointing normal vector on , and C is the boundary (b) (15 points) Evaluate directly the line integral p F- nds in part (a). (a) (15 F-(1+9) 9. points) Apply Green's theorem to evaluate φ F.nds, where (x2 +y)j, of a triangle with vertices (1,0), (0,1). (-1,0) oriented in...